36958479409141 has 2 divisors, whose sum is σ = 36958479409142. Its totient is φ = 36958479409140.

The previous prime is 36958479409109. The next prime is 36958479409151. The reversal of 36958479409141 is 14190497485963.

36958479409141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36305083636900 + 653395772241 = 6025370^2 + 808329^2 .

It is a cyclic number.

It is not a de Polignac number, because 36958479409141 - 2⁵ = 36958479409109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36958479409151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18479239704570 + 18479239704571.

It is an arithmetic number, because the mean of its divisors is an integer number (18479239704571).

Almost surely, 2^{36958479409141} is an apocalyptic number.

It is an amenable number.

36958479409141 is a deficient number, since it is larger than the sum of its proper divisors (1).

36958479409141 is an equidigital number, since it uses as much as digits as its factorization.

36958479409141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 36958479409141 in words is "thirty-six trillion, nine hundred fifty-eight billion, four hundred seventy-nine million, four hundred nine thousand, one hundred forty-one".